Stats Nerds Needed! Weighted Average?

IllegallyUnanalytic

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Joined
Mar 29, 2016
Messages
1
Hi All - first post here and advanced warning I'm no stats wiz, but need the kind help of y'all. I have a huge dataset I am working with and trying to find something of significance...so far nada...but then I had a thought!

I am evaluating response rates of countries to letters sent by the UN, however some countries get many more letters than others, so its seems unfair to say one country has perfect compliance when they only have received 1 letter, whereas another country may have lower compliance but have received 500 letters.

My statisticians out there, any thought on how to develop a fairer way of evaluating compliance based on response rate, while factoring in the sheer quantity of letters received?

Here is a small sample dataset:

StateSentRepliesResponse Rate
Austria11100%
Croatia11100%
Czech Republic66100%
Estonia11100%
Finland11100%
Greece88100%
Hungary1010100%
New Zealand55100%
Norway33100%
Portugal44100%
Slovakia22100%
Switzerland66100%
Uruguay11100%
Moldova232296%
Chile181794%
Canada131292%
Australia232191%
Spain252288%
Netherlands8788%
Costa Rica7686%
United Kingdom252184%
Sweden6583%
Bulgaria5480%
Ireland4375%
France171271%
Bosnia and Herzegovina3267%
Denmark3267%
Germany3267%
Paraguay9667%
Cyprus8563%
Tunisia16956%
Italy13754%
Botswana4250%
Lithuania2150%
Peru18844%
Panama14643%
Latvia100%
Montenegro100%
Poland200%
Romania400%

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Disclaimer: this is for a thesis I am writing and will happily credit you all for you help!!! Thank you thank you thank you!!
 

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